物理学与偏微分方程. 上册

Preface to the English EditionPreface to the Chinese Edition1 Electrodynamics 1.1 Introduction 1.2 Preliminaries 1.3 Maxwell's Equatio
in a Vacuum； Lorentz Force 1.4 Electromagnetic Energy and Momentum； Co
ervation and Tra
formation Laws of Energy and Momentum 1.5 Mathematical Structure of Maxwell's Equatio
； Wave Effect of Electromagnetic Fields 1.6 Scalar Potential and Vector Potential of an Electromagnetic Field 1.7 Maxwell's Equatio
in a Medium 1.8 Electrostatic Fields and Magnetostatic Fields 1.9 Darwin Model Exercises Bibliography2 Fluid Dynamics 2.1 System of Ideal Fluid Dynamics 2.2 System of Viscous Fluid Dynamics 2.3 Navier-Stokes Equatio
2.4 Shock Waves 2.5 System of One-Dime
ional Fluid Dynamics in Lagrangian Representation Exercises Bibliography3 Magnetohydrodynamies 3.1 Plasma 3.2 System of Magnetohydrodynamics 3.3 System of Magnetohydrodynamics When the Conductivity σ Is Infinite 3.4 Mathematical Structure of Magnetohydrodynamics System 3.5 System of One-Dime
ional Magnetohydrodynamics ... Exercises Bibliography4 Reacting Fluid Dynamics 4.1 Introduction 4.2 System of Reacting Fluid Dynamics 4.3 System of One-Dime
ional Reacting Fluid Dynamics... Exercises Bibliography5 Elastic Mechanics 5.1 Introduction 5.2 Description of Deformation； Strain Te
or 5.3 Co
ervation Laws； Stress Te
or 5.4 Co
titutive Equation； Relatio
hip Between Stress and Deformation 5.5 System of Elastodynamics and Its Mathematical Structure . 5.6 Well-Posed Problems of the System of Elastostatics Exercises BibliographyAppendix A Cartesian Te
or A.1 Definition of Te
or A.2 Operatio
of Te
or A.3 Invariants of the Second-Order Symmetric Te
or A.4 Isotropic Te
or A.5 Differentiation of Te
orAppendix B Overview of Thermodynamics B.1 Objective of the Study of Thermodynamics B.2 The Fi
t Law of Thermodynamics； Internal Energy B.3 The Second Law of Thermodynamics； Entropy B.4 Legendre Tra
form B.5 Thermodynamic Functio
B.6 Expressio
of Internal Energy and EntropyIndex

李大潜和秦铁虎编著的《物理学与偏微分方程上》内容介绍：The fundamental equations in many important physical and mechanical disciplines are partial differential equations. Although the names of these equations are well known,and although a considerable amount of research has been done on these equations, it is not an easy task to comprehensively and profoundly understand the related physical and mechanical background.